I'm more NT than AS and I can relate to your exhaustion, too.
And, yet ...
I know that if we never invite, we'll never be invited. And so I try to invite. Not a lot, and I keep things small, but if you want to be involved in the give and take, you do have to give.
My husband, however, doesn't really care for any of it - he is AS - and has been talking me out of it all lately. I've told him not to complain when he hears about parties and events our "friends" hold that we aren't invited to. He seems to be getting that ... and preferring to continue avoiding it all. Which is fine, it's his choice, isn't it?
I'm kind of in the middle. I do like it as long as I'm really a part of it, there with people who want to have fun with me, and include me. But I also find it tiring. I guess that's my partly AS side. In part, I feel like I'm acting my way through it all. And acting is work. And work is tiring.
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Mom to an amazing young adult AS son, plus an also amazing non-AS daughter. Most likely part of the "Broader Autism Phenotype" (some traits).